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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 20 · 40 sums
TalentJR

The trick (Dwandwa Yoga): For abc: columns D(a) | D(ab) | D(abc) | D(bc) | D(c). D(a) = a², D(ab) = 2ab, D(abc) = 2ac + b², D(abcd) = 2ad + 2bc. Combine from the right with carries.

NameDateTime takenScore ___ / 40
  1. 1.5497² =
  2. 2.824² =
  3. 3.125² =
  4. 4.5724² =
  5. 5.8790² =
  6. 6.218² =
  7. 7.1871² =
  8. 8.469² =
  9. 9.437² =
  10. 10.8001² =
  11. 11.7440² =
  12. 12.153² =
  13. 13.784² =
  14. 14.994² =
  15. 15.445² =
  16. 16.109² =
  17. 17.4542² =
  18. 18.6950² =
  19. 19.964² =
  20. 20.3654² =
  21. 21.939² =
  22. 22.7747² =
  23. 23.354² =
  24. 24.648² =
  25. 25.288² =
  26. 26.7055² =
  27. 27.8710² =
  28. 28.4967² =
  29. 29.878² =
  30. 30.958² =
  31. 31.374² =
  32. 32.593² =
  33. 33.439² =
  34. 34.2446² =
  35. 35.9453² =
  36. 36.803² =
  37. 37.183² =
  38. 38.821² =
  39. 39.654² =
  40. 40.431² =

Answer key

  1. 30217009
  2. 678976
  3. 15625
  4. 32764176
  5. 77264100
  6. 47524
  7. 3500641
  8. 219961
  9. 190969
  10. 64016001
  11. 55353600
  12. 23409
  13. 614656
  14. 988036
  15. 198025
  16. 11881
  17. 20629764
  18. 48302500
  19. 929296
  20. 13351716
  21. 881721
  22. 60016009
  23. 125316
  24. 419904
  25. 82944
  26. 49773025
  27. 75864100
  28. 24671089
  29. 770884
  30. 917764
  31. 139876
  32. 351649
  33. 192721
  34. 5982916
  35. 89359209
  36. 644809
  37. 33489
  38. 674041
  39. 427716
  40. 185761

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